FormulaDen.com

Physics Chemistry Math Chemical Engineering Civil Electrical Electronics Electronics and Instrumentation Materials Science Mechanical Production Engineering Financial Health

Insphere Radius of Dodecahedron given Face Perimeter Formula

GoInsphere Radius of Dodecahedron Formula

GoInsphere Radius of Dodecahedron given Volume Formula

Fx Copy

LaTeX Copy

Insphere Radius of Dodecahedron is the radius of the sphere that is contained by the Dodecahedron in such a way that all the faces just touching the sphere. Check FAQs

r i = \sqrt{\frac{25 + (11 \cdot \sqrt{5})}{10}} \cdot \frac{P Face}{10}

r_i - Insphere Radius of Dodecahedron?P_Face - Face Perimeter of Dodecahedron?

Insphere Radius of Dodecahedron given Face Perimeter Example

With values

With units

Only example

Here is how the Insphere Radius of Dodecahedron given Face Perimeter equation looks like with Values.

Here is how the Insphere Radius of Dodecahedron given Face Perimeter equation looks like with Units.

Here is how the Insphere Radius of Dodecahedron given Face Perimeter equation looks like.

11.1352 = \sqrt{\frac{25 + (11 \cdot \sqrt{5})}{10}} \cdot \frac{50}{10}

11.1352m = \sqrt{\frac{25 + (11 \cdot \sqrt{5})}{10}} \cdot \frac{50m}{10}

11.1352 = \sqrt{\frac{25 + (11 \cdot \sqrt{5})}{10}} \cdot \frac{50}{10}

Tip: Use pencil ( Pencil

) icon above to edit Input Values and Units.

Calculate

Recalculate

Solution

Copy

Reset

You are here -

Home » Category

Math » Category

Geometry » Category

3D Geometry » fx Insphere Radius of Dodecahedron given Face Perimeter

Insphere Radius of Dodecahedron given Face Perimeter Solution

Follow our step by step solution on how to calculate Insphere Radius of Dodecahedron given Face Perimeter?

FIRST Step Consider the formula

r i = \sqrt{\frac{25 + (11 \cdot \sqrt{5})}{10}} \cdot \frac{P Face}{10}

Next Step Substitute values of Variables

∴

r i = \sqrt{\frac{25 + (11 \cdot \sqrt{5})}{10}} \cdot \frac{50m}{10}

Next Step Prepare to Evaluate

∴

r i = \sqrt{\frac{25 + (11 \cdot \sqrt{5})}{10}} \cdot \frac{50}{10}

Next Step Evaluate

∴

r i = 11.1351636441161m

LAST Step Rounding Answer

∴

r i = 11.1352m

Insphere Radius of Dodecahedron given Face Perimeter Formula Elements

Variables

Functions

Insphere Radius of Dodecahedron

Insphere Radius of Dodecahedron is the radius of the sphere that is contained by the Dodecahedron in such a way that all the faces just touching the sphere.

Symbol: r_i

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Insphere Radius of Dodecahedron

Face Perimeter of Dodecahedron

Face Perimeter of Dodecahedron is the total distance around the five edges of any face of the Dodecahedron.

Symbol: P_Face

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Face Perimeter of Dodecahedron

sqrt

A square root function is a function that takes a non-negative number as an input and returns the square root of the given input number.

Syntax: sqrt(Number)

Other Formulas to find Insphere Radius of Dodecahedron

Go Insphere Radius of Dodecahedron

r i = \sqrt{\frac{25 + (11 \cdot \sqrt{5})}{10}} \cdot \frac{l e}{2}

Go Insphere Radius of Dodecahedron given Volume

r i = \frac{\sqrt{\frac{25 + (11 \cdot \sqrt{5})}{10}}}{2} \cdot {(\frac{4 \cdot V}{15 + (7 \cdot \sqrt{5})})}^{\frac{1}{3}}

Go Insphere Radius of Dodecahedron given Total Surface Area

r i = \sqrt{\frac{TSA \cdot (25 + (11 \cdot \sqrt{5}))}{120 \cdot \sqrt{25 + (10 \cdot \sqrt{5})}}}

Go Insphere Radius of Dodecahedron given Face Area

r i = \sqrt{\frac{A Face \cdot (25 + (11 \cdot \sqrt{5}))}{10 \cdot \sqrt{25 + (10 \cdot \sqrt{5})}}}

How to Evaluate Insphere Radius of Dodecahedron given Face Perimeter?

Insphere Radius of Dodecahedron given Face Perimeter evaluator uses Insphere Radius of Dodecahedron = sqrt((25+(11*sqrt(5)))/10)*Face Perimeter of Dodecahedron/10 to evaluate the Insphere Radius of Dodecahedron, The Insphere Radius of Dodecahedron given Face Perimeter formula is defined as the radius of the sphere that is contained by the Dodecahedron in such a way that all the faces just touching the sphere, and calculated using face perimeter of Dodecahedron. Insphere Radius of Dodecahedron is denoted by r_i symbol.

How to evaluate Insphere Radius of Dodecahedron given Face Perimeter using this online evaluator? To use this online evaluator for Insphere Radius of Dodecahedron given Face Perimeter, enter Face Perimeter of Dodecahedron (P_Face) and hit the calculate button.

FAQs on Insphere Radius of Dodecahedron given Face Perimeter

What is the formula to find Insphere Radius of Dodecahedron given Face Perimeter?

The formula of Insphere Radius of Dodecahedron given Face Perimeter is expressed as Insphere Radius of Dodecahedron = sqrt((25+(11*sqrt(5)))/10)*Face Perimeter of Dodecahedron/10. Here is an example- 11.13516 = sqrt((25+(11*sqrt(5)))/10)*50/10.

How to calculate Insphere Radius of Dodecahedron given Face Perimeter?

With Face Perimeter of Dodecahedron (P_Face) we can find Insphere Radius of Dodecahedron given Face Perimeter using the formula - Insphere Radius of Dodecahedron = sqrt((25+(11*sqrt(5)))/10)*Face Perimeter of Dodecahedron/10. This formula also uses Square Root (sqrt) function(s).

What are the other ways to Calculate Insphere Radius of Dodecahedron?

Here are the different ways to Calculate Insphere Radius of Dodecahedron-

Insphere Radius of Dodecahedron=sqrt((25+(11*sqrt(5)))/10)*Edge Length of Dodecahedron/2
Insphere Radius of Dodecahedron=sqrt((25+(11*sqrt(5)))/10)/2*((4*Volume of Dodecahedron)/(15+(7*sqrt(5))))^(1/3)
Insphere Radius of Dodecahedron=sqrt((Total Surface Area of Dodecahedron*(25+(11*sqrt(5))))/(120*sqrt(25+(10*sqrt(5)))))

Can the Insphere Radius of Dodecahedron given Face Perimeter be negative?

No, the Insphere Radius of Dodecahedron given Face Perimeter, measured in Length cannot be negative.

Which unit is used to measure Insphere Radius of Dodecahedron given Face Perimeter?

Insphere Radius of Dodecahedron given Face Perimeter is usually measured using the Meter[m] for Length. Millimeter[m], Kilometer[m], Decimeter[m] are the few other units in which Insphere Radius of Dodecahedron given Face Perimeter can be measured.

Let Others Know

✖

Facebook

Twitter

Copied!

: Value
: Unit